1889年，約瑟．伯特蘭(Joseph Bertrand)展示了以下問題：「圓內隨機一弦大於圓內接正三角形邊長機率為何？」並提出三種解法，而每一種解法都分別得到不同的答案。我們發現其他正多邊形也有類似情況，歸納出其中的規律，並且將伯特蘭的解法推廣為第四種，這種解法可以在範圍內任意產生無限多種機率。接著推廣到立體空間中探討，也同樣發生悖論，這些不一致的情況蓋提議敘述不清所致。

In this fast-paced digital economy, customers' judgment is based on their experience with a company’s products and services. Customer reviews become a vital source of information for companies because this information can be used to enhance their products, understand customer wants and needs, improve brand reputation, and provide a competitor’s advantage. A company can understand customer needs and wants by going through reviews. Customers are encouraged to leave not only their opinion but also their ideas for the development of the product or service. By understanding these reviews, a company can actively respond and engage with a reviewer or problem. Failure of companies who don't answer customer queries may negatively impact customer loyalty. Customers will feel neglected by these companies and will choose competing companies to handle their needs. Additionally, customers may speak negatively about a company that does not respond to reviews. The AI-based customer sentiment dashboard can help gain a company's competitive advantage by identifying weaknesses in themselves and others. Companies will be enabled to understand where they succeed and where improvement is needed compared to their competitors, leveraging businesses to address strengths and weaknesses before competitors do. Through AI-based customer sentiment dashboards, a company can analyze its competitor’s reviews and use that information as leverage to make improvements to its products and services. Customers are increasingly leaving reviews on popular apps like Google Play, Stamped.io, Yapto, and Judge.me, Loox, Qualaroo, and Yelp. The reviews are rich in customer sentiments offering valuable insights into user satisfaction and pointing out the areas for improvement that are crucial to every company no matter how big or small. Despite their value, manually processing these reviews is a challenging task due to the large volume of unstructured data. Manual processing is also vulnerable to bias and human error, leading to inaccurate information. Traditional methods such as surveys have been proven to be ineffective if the main focus is targeted feedback and have low responses compared to reviews. The advances in artificial intelligence like Natural Language Processing (NLP) help us interpret and analyze human language and generate outputs like predicting what type of sentiments are in reviews. This project proposes developing an AI-based sentiment analysis model to evaluate customer feedback on two widely used taxi applications. Natural Language Processing libraries, such as the Valence Aware Dictionary and Sentiment Reasoner (. The model aims to categorize customer reviews into positive, negative, and neutral sentiments.

As the global demand for sustainable agriculture practices and renewable energy sources continues to rise, the integration of solar power technology with irrigation systems has gained significant attention. This abstract presents an overview of an innovative solution known as the "Automatic Solar Panel Sprinkler Irrigation System," which combines solar panels and smart irrigation technology to efficiently manage water resources in agricultural settings. The proposed system leverages solar panels to generate electricity and simultaneously operate an automated sprinkler irrigation system. Solar panels are strategically positioned in proximity to crop fields, utilizing photovoltaic cells to convert solar energy into electrical power. This energy is then harnessed to power the irrigation system, providing a sustainable and eco-friendly method for crop hydration. In Solar Power Generation the system consists of photovoltaic panels designed to capture solar energy during daylight. This renewable energy source is converted into electrical power, which is stored in batteries for subsequent use. Automated Sprinkler Irrigation is an advanced control system manages the irrigation process, ensuring efficient water distribution based on crop requirements. Soil moisture sensors and weather data are integrated to optimize irrigation scheduling. In Remote Monitoring and Control, farmers can remotely monitor and control the irrigation system through a user friendly interface, accessible via smartphones or computers. This feature enables real-time adjustments and ensures that water resources are utilized optimally. In Water Conservation the system is designed to minimize water wastage by delivering precise and targeted irrigation, reducing over-watering and the associated environmental impact. In Cost Savings the harnessing solar power, this system reduces electricity expenses, making it an economically viable solution for farmers, particularly in regions with ample sunlight. Using a tracker with an automatic solar panel sprinkler irrigation system can be a smart and efficient way to optimize the system's performance. And the most important thing is that in my prototype it is under the panel and will track the location of the Sun and with that it will lead to the Automatic movement of the panel from east to west and when the evening starts it will go back to its position.

雜草被認為是不具經濟價值的東西，而近年來入侵的外來種植物，因為生長迅速且沒有天敵，所以危害了我們自然環境的原生植物，本研究使用稻草與小花蔓澤蘭，將之曬乾 並打碎後過篩出粗纖維，混合石蠟成為複合材料，試驗材料吸附油汙的效果。結果顯示，粗纖維與石蠟混合比例較高的1：3時，因為有更多的石蠟使材料穩固能吸附較多的油汙，稻草組的平均吸油汙量為7.19g，小花蔓澤蘭組只有3.25g，為同比例的稻草組的64.3％，稻草組的平均飽和比為1：3.22，吸附油汙達到最高8.07g，小花蔓澤蘭組的平均飽和比只有1：2.60，吸附油汙重只有4.72g，為稻草粗纖維的58.5%。未來將研究此複合材料應用於生活上的吸附油汙，或利用複合材料在其他領域上來提高雜草附加價值。

本研究希望開發一套AI植物診療輔助系統。利用AI辨識植物生長曲線，適時補充所需營養。Micro:Bit監控生長環境，建立雲端資料庫。實驗發現： 一、使用過濾海綿、光照9小時、營養液濃度控制在pH值5.5到6.5、EC值（導電度）800至2000μs／cm的「植物生長環境」比「一般種植」的空心菜平均高度增加7.88公分，莖也更粗壯。 二、當植株出現病徵，如缺氮的葉面黃化，再以「AI植物診療輔助系統」種植，新葉能逐漸回復健康狀態。 本研究不僅幫助家庭簡易取得新鮮蔬菜，若推廣在科技農業，能有效減少人力成本，增加作物生長效能，邁向SDGs目標2消除營養不良與永續農業的美好願景。

本研究將傳統板擦與板擦機進行結合，製作出能及時清理布面的吸塵板擦。我們的實驗測試了板擦各零件結構與材料的效果、自製吸塵板擦使用時空氣品質、板擦布上粉筆灰滯留量、噪音分貝數，而實驗結果證實自製吸塵板擦能夠有效地解決了使用傳統板擦時無法及時清理、粉塵飄散，傳統板擦機使用時噪音過大等問題。本研究不僅努力為師生創造出優質的教學環境，也使板擦能被及時清潔、提高了板擦的清潔效率以降低了粉塵在空中對師生的影響。未來我們希望能夠進一步優化，提高實用性、擦拭效率，並成功在校園中普及化。

研究發現食用醃漬食品能夠讓腸道菌相平衡、提高免疫力、降低血脂血壓等。科學家們從這些食物中分離出乳桿菌（Lactobacillus）、鏈球菌（Streptococcus）和明串球菌（Leuconostoc）等。本研究希望從醃漬食品中分離出能夠維持腸道健康的益生菌。首先，我們從台北的傳統市場收集醃漬食品，利用選擇培養基分離細菌。通過PCR確認為乳桿菌屬後，測量他們的胞外多醣產量。我們發現菌株1-1、 3-2、 3-4、 3-6-2、和 3-8能夠在含有低酸和膽鹽的環境生存，並測試他們對人類胃細胞的毒性。在MOI=10的情況下，所有菌株都能維持細胞80%的生存率。但是，菌株1-1、 3-2、 3-4、 3-6-2、和 3-8的細胞貼附能力非常弱。除此之外，我們發現菌株PV15、 1-1、 3-2、 3-4、 3-6-1、 3-6-2、和 3-8的上清液能小幅度地抑制大腸桿菌生長能力。未來，我們希望能進行腸道細胞的實驗（CACO-2），並利用動物來檢測菌株維持腸道健康的能力。

「EasyDump垃圾籃」是協助國小學童打掃校園的好幫手。觀察學校外掃區的打掃情況，什麼時候會出現垃圾袋破掉的情況呢？答案是將垃圾袋拖出垃圾籃和將垃圾袋送上垃圾車的時候。因此，利用市售的三種升降平台，設計可以讓垃圾籃自動升降的功能。再強化升降平台的載重力，讓EasyDump垃圾籃可以承受更多的重量。接著利用Arduino及伺服馬達製作分離沙子和樹葉的抖沙器，減少沙子進入垃圾袋，讓同學可以更Easy取出垃圾袋。最後整合改良的垃圾籃、抖沙器、升降平台，讓EasyDump垃圾籃可以升到垃圾車車斗的高度，就能方便將裝滿垃圾的垃圾袋從垃圾籃中移動到垃圾車的車斗中。

本實驗我們主要使用LED燈做為光源來對比接近太陽光波長的白熾燈，並使用碘液對比I- /I3- 電解液。我們發現當二氧化鈦膜燒結溫度在300~450度間以及當二氧化鈦膜面積為5cm2、浸泡於染料時間20分鐘時效果為最好，便在後續變因下維持這些因素。此外，我們也自行萃取出花青素、葉綠素、兒茶素三種天然染料來做比較，並透過太陽光能轉換效率公式計算出電池效率嘗試找尋效果最好的天然植物，後續也以此為根據嘗試了混和不同染料。同時，我們藉由觀測LED燈與近似太陽光波長的白熾燈照射下的結果來進行電池性質的比較。

本研究對三秒膠的最佳使用環境、防護措施及特殊用途進行了一系列的研究，發現三秒膠使用環境是在低溫且正常濕度下使用為最佳，若想要使黏著性更堅固，可在黏著時添加石灰粉以及香灰。而使用三秒膠時，事先塗抹凡士林或配戴PE材質手套都可有效保護手部避免沾黏，如果真的不小心沾到，則可浸泡於酸性水溶液或去光水幫助分離，且要避免使用棉質手套，因為其含有植物纖維，與三秒膠易發生化學作用產生高溫，造成燙傷。特殊用途有：滴在保麗龍上可防止液體流出、藉由三秒膠接觸植物纖維所產生的煙霧可檢測是否有殘餘的胺基酸、將三秒膠滴到植物纖維上，高溫可達將近200°C可以用來加熱食物、三秒膠加上香灰或保麗龍能修補破裂的瓷磚與非平面性的裂縫。

近年來心臟疾病死亡率不斷上升，其中心衰竭是一種常見且高死亡率、高再住院率的心臟疾病，故如何治療並延長患者壽命是相當重要的問題。本研究利用 Verapamil 建立斑馬魚心衰竭模型，並作為疾病模式探討糖尿病藥物 Dapagliflozin 對心衰竭的作用。研究結果顯示，經 Verapamil前處理 4 小時再加入 Dapagliflozin 共處理 20 小時後發現，可以改善心衰竭斑馬魚心室肥大、心輸出量下降和水腫，但功能為滲透壓調節的離子細胞其密度無明顯變化。而心衰竭斑馬魚體內nppa、nppb、gata4、vmhc 這四種在心臟壓力上升時，基因表現量會上升的基因，經 Dapagliflozin處理後無明顯下降。綜上所述，我們推測 Dapagliflozin 可能作用於心臟及腎臟，透過改善心腎功能，排出身體多餘水分，使體液與電解質平衡，改善水腫的同時進而達到改善心衰竭的作用。

本研究以四種不同殺菌條件之市售鮮乳試製莫札瑞拉起司，並與生乳進行比較，結果顯示僅RM65 組和HTST 72組成品具拉伸延展性，且RM 65組具顯著最高的製成率和含水率、顯著較低的TPA最相近；後續再以不同拉伸溫度為變因對瑞穗極制鮮乳所製之起司進行品質探討，發現其製成率隨拉伸溫度上升而下降、硬度值和截切值則隨拉伸溫度上升而增加，其中以65℃進行拉伸的組別擁有較佳的製成率、外觀顏色、柔軟度和拉伸延展性，可做為一般民眾在家自製莫札瑞拉起司時可輕易取得之乳源，期能為受紐西蘭乳零關稅衝擊的國產鮮乳開發創新產業出路，朝向多元發展，為本土酪農產業鏈注入新動能。